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SymmetricReduction

可用,与 .wl 参考有差异

Reduce a polynomial into symmetric part and remainder over elementary symmetric polynomials

SymmetricReduction[f, {x1, …, xn}]
SymmetricReduction[f, {x1, …, xn}, {s1, …, sn}]
SymmetricReduction[x ^ 2 + y ^ 2, {x, y}] → {-2*x*y + (x + y)^2, 0}SymmetricReduction[x ^ 2 - y ^ 2, {x, y}] → {-2*x*y + (x + y)^2, -2*y^2}SymmetricReduction[x ^ 2 - y ^ 2, {x, y}, {s1, s2}] → {s1^2 - 2*s2, -2*y^2}

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